82435540320 has 480 divisors, whose sum is σ = 334038152448. Its totient is φ = 18754716672.

The previous prime is 82435540303. The next prime is 82435540339. The reversal of 82435540320 is 2304553428.

82435540320 is a `hidden beast` number, since 8 + 243 + 5 + 5 + 403 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20591439 + ... + 20595441.

Almost surely, 2^82435540320 is an apocalyptic number.

82435540320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82435540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167019076224).

82435540320 is an abundant number, since it is smaller than the sum of its proper divisors (251602612128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82435540320 is a wasteful number, since it uses less digits than its factorization.

82435540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 82435540320 in words is "eighty-two billion, four hundred thirty-five million, five hundred forty thousand, three hundred twenty".